Question

$$| \begin{array} { l l l } { 1 } & { 1 } & { 1 } \\ { a } & { b } & { c } \\ { a ^ { 3 } } & { b ^ { 3 } } & { c ^ { 3 } } \end{array} | = ( b - c ) ( c - a ) ( a - b ) ( a + b + c )$$

Answer

$$GROUPBPr*e*o*v*t^2*h*a$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[GROUPBProve{t}^{2}ha\]
Regroup terms.
\[GROUPBPreov{t}^{2}ha\]